length n = 222
dimension k = 6
alphabet length q = 4

minimum distance d = 160

generator matrix:
000000000011111111110000011111000000000000000111111111111111000000000011111111111111111111000000000011111111111111111111000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000011111100000022330011100011000000111111111000000000112233001111111100000000111111222333001111111100000000111111222333001111111100000000112222233333111112311111111222222222223333333333311112223331111222222223333333312233
001100223300223300001100100101111111000000123000000123020103110011223300112233001112001003110011112300111123000033022011110011223300112233000033300222111132111122233111223333331122222233312231121332233112233331122223321323
112323000000030203020101111000000123000123213112233000000000121211010311021103020020110033121200332123011320011301200001232300332223230203230200103001111312123323323233221112232311122311331231223112323233311232311232233221
230032030223302000001110001010123213123000000020103000201030112102103312200133110201010300321213010121103101303000202110322323010132321010003303022020113112132321211323131231333212323212232212113133322321323313223121223132
323200302032000030201011010100213000213213000201030213000000211120113021111030202000101330123231102021330021130110020100233232203032003322321020010300131112133233232221313212321132113321232132211313232333132122232312132312

projective group of automorphisms generated by:
000010
010000
100000
001000
000001
000100

010000
000001
000010
001000
000100
100000